@Nogoingback gives good advice with task (supplemental) lighting, and I do agree that simplicity is often the best approach.
So, here are a few things to know for reference. Don't get too wrapped up on what it means, just match your units before doing any math..
-Lux is luminous flux, think of it as light energy density.
-Lumens is energy output without regard to the area that a light casts. It directly relates to watts power output.
-One lumen per square foot equals one foot-candle which equals ~10 Lux.
How much light do you need?
-In the US, lighting recommendations for fine tasks with high contrast and low size require 500 Lux (50 foot-candles) and detail work of low contrast and small size require 1000 Lux (100 foot-candles) (Source: IESNA)
-If your shop is 1000 square feet, and you want 100 foot-candles of light, you need to shop for 100,000 Lumens worth of illumination. If you are looking at modest 5,000 Lumen strip light fixtures, then you should be looking at a total of 20 fixtures for your space as a starting point.
There is a lot of bad info out there (I know because I just bought $1400 worth of lights for my shop), so I thought I'd try to pass on something useful about lights. Not all light fixtures are appropriate, and as usual there's cheap and then there's quality, and we all have our own ways of managing that. Personal preference plays a big part with color temperature and lighting power. Ultimately, when you turn on the light switch what you see is largely going to be a result of light intensity. Hopefully this is useful if you're planning for some new light in your shop.